{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bayesian Data Analysis, 3rd ed\n",
    "## Chapter 3, demos 1-4\n",
    "\n",
    "Examples and illustrations for a normal model with unknown mean and variance\n",
    "(BDA3 section 3.2 on p. 64)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# add utilities directory to path\n",
    "import os, sys\n",
    "util_path = os.path.abspath(os.path.join(os.path.pardir, 'utilities_and_data'))\n",
    "if util_path not in sys.path and os.path.exists(util_path):\n",
    "    sys.path.insert(0, util_path)\n",
    "\n",
    "# import from utilities\n",
    "import sinvchi2\n",
    "import plot_tools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# edit default plot settings\n",
    "plt.rc('font', size=12)\n",
    "# apply custom background plotting style\n",
    "plt.style.use(plot_tools.custom_styles['gray_background'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# data\n",
    "y = np.array([93, 112, 122, 135, 122, 150, 118, 90, 124, 114])\n",
    "# sufficient statistics\n",
    "n = len(y)\n",
    "s2 = np.var(y, ddof=1)  # here ddof=1 is used to get the sample estimate\n",
    "my = np.mean(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# set random number generator with seed\n",
    "rng = np.random.RandomState(seed=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# factorize the joint posterior p(mu,sigma2|y) to p(sigma2|y)p(mu|sigma2,y)\n",
    "# sample from the joint posterior using this factorization\n",
    "\n",
    "# sample from p(sigma2|y)\n",
    "sigma2 = sinvchi2.rvs(n-1, s2, size=1000, random_state=rng)\n",
    "# sample from p(mu|sigma2,y) \n",
    "mu = my + np.sqrt(sigma2/n)*rng.randn(*sigma2.shape)\n",
    "# display sigma instead of sigma2\n",
    "sigma = np.sqrt(sigma2)\n",
    "# sample from the predictive distribution p(ynew|y)\n",
    "# for each sample of (mu, sigma)\n",
    "ynew = rng.randn(*mu.shape)*sigma + mu"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# for mu compute the density in these points\n",
    "tl1 = [90, 150]\n",
    "t1 = np.linspace(tl1[0], tl1[1], 1000)\n",
    "# for sigma compute the density in these points\n",
    "tl2 = [10, 60]\n",
    "t2 = np.linspace(tl2[0], tl2[1], 1000)\n",
    "# for ynew compute the density in these points\n",
    "tlynew = [50, 185]\n",
    "xynew = np.linspace(tlynew[0], tlynew[1], 1000)\n",
    "\n",
    "# evaluate the joint density in a grid\n",
    "# note that the following is not normalized, but for plotting\n",
    "# contours it does not matter\n",
    "Z = stats.norm.pdf(t1, my, t2[:,np.newaxis]/np.sqrt(n))\n",
    "Z *= (sinvchi2.pdf(t2**2, n-1, s2)*2*t2)[:,np.newaxis]\n",
    "\n",
    "# compute the exact marginal density for mu\n",
    "# multiplication by 1./sqrt(s2/n) is due to the transformation of variable\n",
    "# z=(x-mean(y))/sqrt(s2/n), see BDA3 p. 21\n",
    "pm_mu = stats.t.pdf((t1 - my) / np.sqrt(s2/n), n-1) / np.sqrt(s2/n)\n",
    "\n",
    "# estimate the marginal density for mu using samples and an ad hoc Gaussian\n",
    "# kernel approximation\n",
    "pk_mu = stats.gaussian_kde(mu).evaluate(t1)\n",
    "\n",
    "# compute the exact marginal density for sigma\n",
    "# multiplication by 2*t2 is due to the transformation of variable\n",
    "# z=t2^2, see BDA3 p. 21\n",
    "pm_sigma = sinvchi2.pdf(t2**2, n-1, s2)*2*t2\n",
    "# N.B. this was already calculated in the joint distribution case\n",
    "\n",
    "# estimate the marginal density for sigma using samples and an ad hoc Gaussian\n",
    "# kernel approximation\n",
    "pk_sigma = stats.gaussian_kde(sigma).evaluate(t2)\n",
    "\n",
    "# compute the exact predictive density\n",
    "# multiplication by 1./sqrt(s2/n) is due to the transformation of variable\n",
    "# see BDA3 p. 21\n",
    "p_new = stats.t.pdf((xynew-my)/np.sqrt(s2*(1+1/n)), n-1) / np.sqrt(s2*(1+1/n))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualise the joint density and marginal densities of the posterior of normal \n",
    "distribution with unknown mean and variance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Joint and marginal posterior distributions\n"
     ]
    },
    {
     "data": {
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VAKBxNkDTVOnnyIiIyF+Y8FFAsJX8hHVb9+LScwe3lXn0EfCY+hznqtCk6izQ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WBSjoVxGSZeruw8ZAjfgVBBYpUEG5wNLK1cit1sH9KLt7sHcySh8wa9UT1s7qCbRAZGrkQqawIC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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f31397e6080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print('Joint and marginal posterior distributions')\n",
    "\n",
    "# create figure\n",
    "fig, axes = plt.subplots(\n",
    "    2, 2,\n",
    "    figsize=(9, 9),\n",
    "    gridspec_kw=dict(\n",
    "        width_ratios=[2, 1],\n",
    "        height_ratios=[1, 2]\n",
    "    )\n",
    ")\n",
    "\n",
    "# plot the joint distribution\n",
    "ax = axes[1, 0]\n",
    "# plot the samples from the joint posterior\n",
    "samps = ax.scatter(mu, sigma, 5, color=plot_tools.lighten('C2', 0.3))\n",
    "# plot the contour plot of the exact posterior (c_levels is used to give\n",
    "# a vector of linearly spaced values at which levels contours are drawn)\n",
    "c_levels = np.linspace(1e-5, Z.max(), 6)[:-1]\n",
    "ax.contour(t1, t2, Z, c_levels, colors='C0')\n",
    "# decorate\n",
    "ax.set_xlim(tl1)\n",
    "ax.set_ylim(tl2)\n",
    "ax.set_xlabel('$\\mu$', fontsize='14')\n",
    "ax.set_ylabel('$\\sigma$', fontsize='14')\n",
    "\n",
    "# plot the marginal of mu\n",
    "ax = axes[0, 0]\n",
    "# exact\n",
    "ax.plot(\n",
    "    t1,\n",
    "    pm_mu,\n",
    "    color=plot_tools.lighten('C1'),\n",
    "    linewidth=5\n",
    ")\n",
    "# empirical\n",
    "ax.plot(\n",
    "    t1,\n",
    "    pk_mu,\n",
    "    color='k',\n",
    "    dashes=(5, 7),\n",
    "    linewidth=1.5\n",
    ")\n",
    "# decorate\n",
    "ax.set_xlim(tl1)\n",
    "ax.set_yticks(())\n",
    "ax.set_xticklabels(())\n",
    "\n",
    "# plot the marginal of sigma\n",
    "ax = axes[1, 1]\n",
    "# exact\n",
    "exact_line, = ax.plot(\n",
    "    pm_sigma,\n",
    "    t2,\n",
    "    color=plot_tools.lighten('C1'),\n",
    "    linewidth=5\n",
    ")\n",
    "# empirical\n",
    "empirical_line, = ax.plot(\n",
    "    pk_sigma,\n",
    "    t2,\n",
    "    color='k',\n",
    "    dashes=(5, 7),\n",
    "    linewidth=1.5\n",
    ")\n",
    "# decorate\n",
    "ax.set_ylim(tl2)\n",
    "ax.set_xticks(())\n",
    "ax.set_yticklabels(())\n",
    "\n",
    "# hide last ax\n",
    "ax = axes[0, 1]\n",
    "ax.axis('off')\n",
    "# make legend there\n",
    "ax.legend(\n",
    "    (\n",
    "        samps,\n",
    "        plt.Line2D([], [], color='C0'),\n",
    "        exact_line,\n",
    "        empirical_line\n",
    "    ),\n",
    "    (\n",
    "        'samples',\n",
    "        'exact joint contour',\n",
    "        'exact marginal',\n",
    "        'empirical marginal'\n",
    "    ),\n",
    "    loc='center',\n",
    ")\n",
    "\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualise factored sampling and the corresponding marginal and conditional densities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZpaWlMWHCBAIDA/H39+dvf/sbAElJSQwfPhwfHx9iY2NZv369aZtu3bqxfPly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\npwKfoiiKoihKmPv/kfjIhIMuWR8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3139556748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create figure\n",
    "fig, axes = plt.subplots(\n",
    "    1, 2,\n",
    "    figsize=(9, 6),\n",
    "    gridspec_kw=dict(width_ratios=[2, 1])\n",
    ")\n",
    "\n",
    "# plot the joint distribution\n",
    "ax = axes[0]\n",
    "# plot the contour plot of the exact posterior (c_levels is used to give\n",
    "# a vector of linearly spaced values at which levels contours are drawn)\n",
    "c_levels = np.linspace(1e-5, Z.max(), 6)[:-1]\n",
    "ax.contour(t1, t2, Z, c_levels, colors='C0')\n",
    "\n",
    "# plot the first sample\n",
    "line1, = ax.plot(tl1, [sigma[0], sigma[0]], 'k')\n",
    "line2, = ax.plot(\n",
    "    t1,\n",
    "    sigma[0] + stats.norm.pdf(t1, my, np.sqrt(sigma2[0]/n))*100,\n",
    "    color='C1',\n",
    "    linestyle='dashed',\n",
    "    linewidth=2\n",
    ")\n",
    "scat = ax.scatter(mu[0], sigma[0], 40, color='r')\n",
    "\n",
    "# decorate\n",
    "ax.set_xlim(tl1)\n",
    "ax.set_ylim(tl2)\n",
    "ax.set_xlabel('$\\mu$', fontsize=14)\n",
    "ax.set_ylabel('$\\sigma$', fontsize=14)\n",
    "ax.set_title('joint posterior')\n",
    "ax.legend(\n",
    "    (plt.Line2D([], [], color='C0'), line1, line2, scat),\n",
    "    ('exact contour plot',\n",
    "     'sample from the marginal of $\\\\sigma$',\n",
    "     'conditional distribution of $\\\\mu$',\n",
    "     'sample from joint posterior'),\n",
    "    loc='upper center'\n",
    ")\n",
    "\n",
    "# plot the marginal of sigma\n",
    "ax = axes[1]\n",
    "ax.plot(pm_sigma, t2)\n",
    "# decorate\n",
    "ax.set_ylim(tl2)\n",
    "ax.set_title('marginal of $\\sigma$')\n",
    "ax.set_xticks(());\n",
    "ax.set_yticklabels(())\n",
    "\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualise the marginal distribution of mu as a mixture of normals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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5du9nZ93VnTqe5aHROKaTt46eLtgVQpydBCRxKWmt6Sd9ojQiTEM80yNMw2Pd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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f31395d5908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# calculate conditional pdfs for each sample\n",
    "condpdfs = stats.norm.pdf(t1, my, np.sqrt(sigma2/n)[:,np.newaxis])\n",
    "\n",
    "# create figure\n",
    "fig, axes = plt.subplots(2, 1, figsize=(6, 9), sharex=True)\n",
    "\n",
    "# plot some of them\n",
    "ax = axes[0]\n",
    "ax.plot(t1, condpdfs[:25].T, 'C2', alpha=0.25)\n",
    "ax.set_xlim(tl1)\n",
    "ylims_from_0 = ax.set_ylim()  # set same y_lims to the next plot\n",
    "ax.set_title('conditional distribution of $\\\\mu$ for first 25 samples')\n",
    "ax.set_yticks(())\n",
    "\n",
    "# plot their mean\n",
    "ax = axes[1]\n",
    "ax.plot(\n",
    "    t1,\n",
    "    np.mean(condpdfs, axis=0),\n",
    "    color=plot_tools.lighten('C1'),\n",
    "    linewidth=5,\n",
    "    label='average of sampled conditionals'\n",
    ")\n",
    "ax.plot(\n",
    "    t1,\n",
    "    pm_mu,\n",
    "    color='k',\n",
    "    dashes=(5, 7),\n",
    "    linewidth=1.5,\n",
    "    label='exact marginal of $\\\\mu$'\n",
    ")\n",
    "ax.set_yticks(())\n",
    "ax.set_xlim(tl1)\n",
    "ax.set_ylim(ylims_from_0)\n",
    "ax.legend(loc='upper center')\n",
    "\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualise sampling from the posterior predictive distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Bgfo6egLn+Km8FR8fO4N9JxtgsgpIDpNjYVY0rp4c6ZbhD/70ulLoJYR4Awq9Y0jgArYV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9wanZufY82n2eT4s99uONp1ArEFgBqqZOud3C+5v/O0CmnAEFnbHORbefct1KBgLojHeeVWyj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\nRC8AAOV9ANcB6ZeeQR9jAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3138bd0400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# calculate predictive pdf for the first given mu and sigma sample\n",
    "ynewdists = stats.norm.pdf(xynew, mu[0], sigma[0])\n",
    "\n",
    "# create figure\n",
    "fig, axes = plt.subplots(3, 1, figsize=(6, 12))\n",
    "\n",
    "# plot the joint distribution\n",
    "ax = axes[0]\n",
    "# plot the samples from the joint posterior\n",
    "samps = ax.scatter(mu, sigma, 5, color=plot_tools.lighten('C2', 0.3))\n",
    "# plot the contour plot of the exact posterior (c_levels is used to give\n",
    "# a vector of linearly spaced values at which levels contours are drawn)\n",
    "c_levels = np.linspace(1e-5, Z.max(), 6)[:-1]\n",
    "ax.contour(t1, t2, Z, c_levels, colors='C0')\n",
    "# decorate\n",
    "ax.set_xlim(tl1)\n",
    "ax.set_ylim(tl2)\n",
    "ax.set_xlabel('$\\mu$', fontsize=14)\n",
    "ax.set_ylabel('$\\sigma$', fontsize=14)\n",
    "ax.legend(\n",
    "    (plt.Line2D([], [], color='C0'), samps),\n",
    "    ('exact joint posterior contour', 'joint posterior samples'),\n",
    "    loc='center left',\n",
    "    bbox_to_anchor=(1, 0.5)\n",
    ")\n",
    "# highlight the first sample\n",
    "ax.scatter(mu[0], sigma[0], 40, 'r')\n",
    "\n",
    "# plot first ynew\n",
    "ax = axes[1]\n",
    "# plot the distribution and the respective sample\n",
    "line1, = ax.plot(xynew, ynewdists)\n",
    "ax1_hs = ax.scatter(ynew[0], 0.02*np.max(ynewdists), 40, 'r')\n",
    "# decorate\n",
    "ylims_from_1 = ax.set_ylim()\n",
    "ax.set_xlim(tlynew)\n",
    "ax.set_xlabel('$\\widetilde{y}$', fontsize=14)\n",
    "ax.set_yticks(())\n",
    "ax.legend(\n",
    "    (line1, ax1_hs),\n",
    "    ('pred.dist. given the posterior sample',\n",
    "    'sample from the predictive distribution'),\n",
    "    loc='center left',\n",
    "    bbox_to_anchor=(1, 0.5)\n",
    ")\n",
    "\n",
    "# plot all ynews\n",
    "ax = axes[2]\n",
    "ax.scatter(\n",
    "    ynew,\n",
    "    (0.02 + 0.05*rng.rand(*ynew.shape))*np.max(ynewdists),\n",
    "    10,\n",
    "    color='C2',\n",
    "    alpha=0.2,\n",
    "    label='samples from the predictive distribution'\n",
    ")\n",
    "ax.plot(\n",
    "    xynew,\n",
    "    p_new,\n",
    "    linewidth=1.5,\n",
    "    label='exact predictive distribution'\n",
    ")\n",
    "ax.set_ylim(ylims_from_1)\n",
    "ax.set_xlim(tlynew)\n",
    "ax.set_xlabel('$\\widetilde{y}$', fontsize=14)\n",
    "ax.set_yticks(())\n",
    "ax.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n",
    "\n",
    "fig.tight_layout()"
   ]
  }
 ],
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